Question

Solve for X: 1/3x+2/3=1/4x-1/6 Step by step please

Answer 1

Answer:

For the given expression  $(\frac{1}{3})x + (\frac{2}{3}) = (\frac{1}{4})x - (\frac{1}{6})$ , x =  -10

Step-by-step explanation:

Here, the given expression is : $(\frac{1}{3})x + (\frac{2}{3}) = (\frac{1}{4})x - (\frac{1}{6})$

Now, solving for x:

Separate the terms with x on one side, we get

$(\frac{1}{3})x - (\frac{1}{4})x = - (\frac{1}{6}) - (\frac{2}{3})$

or, $(\frac{1}{3} - \frac{1}{4})x = - (\frac{1}{6} + \frac{2}{3})\\\implies (\frac{4-3}{(3)(4)}) x = -(\frac{1+ 2(2)}{6} )$

or, $\frac{1}{12}x = - \frac{5}{6} \\\impliex x = -\frac{5}{6} \times 12 = -10$

or, x  = -10

Hence, for the given expression  $(\frac{1}{3})x + (\frac{2}{3}) = (\frac{1}{4})x - (\frac{1}{6})$ , x =  -10